Compute Shear Stresses  
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Diagram shows an aluminum shaft A B with a support at A, marked 1 of length 2,000 millimeters and a brass shaft B C with a support at C, marked 2 of length 800 millimeters with a flange in between at B. The shafts are centered on the x axis. A torque T is applied at B.

The shear stress in a shaft is given by the elastic torsion formula:

τ=TcJ

Using the values computed for T1 and T2, calculate the shear stresses in each shaft:

τ1=Τ1c1J1=(4,971,146 N-mm)(37.5 mm)2,207,951 mm4=84.43 MPa
τ2=Τ2c2J2=(-7,725,688 N-mm)(37.5 mm)3,106,311 mm4=-93.27 MPa